Answer:
Option B.
Step-by-step explanation:
The given arithmetic sequence is
[tex]-13,-8,-3,2,...[/tex]
We need to find the nth term of the given arithmetic sequence.
Here,
First term : [tex]a=-13[/tex]
Common difference : [tex]a_2-a_1=-8-(-13)=-8+13=5[/tex]
The nth term of an arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
Substitute a=-13 and d=5 in the above formula.
[tex]a_n=-13+(n-1)5[/tex]
[tex]a_n=-13+5(n-1)[/tex]
Therefore, the correct option is B.
